Below is a list of the lessons we will cover this year in Algebra 1. Eventually, all of the lessons will be linked to some web content to help you learn Algebra 1 or keep up with class if you are absent.

 

Unit 1 - Tools of Geometry

• 1.1 Patterns and Inductive Reasoning
• 1.2 Drawings, Nets and Other Models
• 1.3 Points, Lines, and Planes
• 1.4 Segments, Rays, Parallel Lines and Planes
• 1.5 Measuring Segments
• 1.6 Measuring Angles
• 1.8 The Coordinate Plane
• 1.9 Perimeter, Circumference, and Area

Unit 2 - Reasoning and Proof

• 2.1 Conditional Statements
• 2.2 Biconditionals and Definitions
• 2.3 Deductive Reasoning
• 2.4 Reasoning Algebra
• 2.5 Proving Angles Congruent

Unit 3 - Parallel and Perpendicular Lines

• 3.1 Properties of Parallel Lines
• 3.2 Proving Lines Parallel
• 3.3 Parallel and Perpendicular Lines
• 3.4 Parallel Lines and the Triangle Angle-Sum Theorem
• 3.5 The Polygon Angle-Sum Theorem
• 3.6 Lines in the Coordinate Plane
• 3.7 Slopes of Parallel Lines and Perpendicular Lines

Unit 4 - Congruent Triangles

• 4.1 Congruent Figures
• 4.2 Triangle Congruence by SSS and SAS
• 4.3 Triangle Congruence by ASA and AAS
• 4.4 Using Congruent Triangles: CPCTC
• 4.5 Isosceles and Equilateral Triangles
• 4.6 Congruent Right Triangles
• 4.7 Using Corresponding Parts of Congruent Triangles

Unit 5 - Relationships Within Triangles

• 5.1 Midsegments of Triangles
• 5.2 Bisectors in Triangles
• 5.3 Concurrent Lines, Medians, and Altitudes
• 5.4 Inverses, Contrapositives, and Indirect Reasoning
• 5.5 Inequalities in Triangles

Unit 6 - Quadrilaterals

• 6.1 Classifying Quadrilaterals
• 6.2 Properties of Parallelograms
• 6.3 Proving That a Quadrilateral is a Parallelogram
• 6.4 Special Parallelogram Part 1
• 6.4 Special Parallelogram Part 2
• 6.5 Trapezoids and Kites
• 6.6/6.7 Proof Using Coordinate Geometry

Unit 7 - Similarity

• 7.1 Ratios and Proportions
• Algebra Review - Solving Quadratic Equations
• 7.2 Similar Polygons
• 7.3 Proving Triangles Similar
• Algebra Review - Simplest Radical Form
• 7.4 Similarity in Right Triangles
• 7.5 Proportions in Triangles

Unit 8 - Right Triangles and Trigonometry

• 8.1 The Pythagorean Theorem and Its Converse
• 8.2 Special Right Triangles
• 8.3 The Tangent Ratio
• 8.4 Sine and Cosine Ratio
• 8.5 Angles of Elevation and Depression
• 8.6 Vectors

Unit 10 - Area

• 10.1 Areas of Parallelograms and Triangles
• 10.2 Areas of Trapezoids, Rhombuses, and Kite
• 10.3 Area of Regular Polygons
• 10.4 Perimeters and Areas of Similar Figures
• 10.5 Trigonometry and Area
• 10.6 Circles and Arcs
• 10.7 Areas of Circles and Sectors
• 10.8 Geometric Probability

Unit 11 - Surface Area and Volume

• 11.1 Space Figures and Cross Sections
• 11.2 Surface Area of Prisms and Cylinders
• 11.3 Surface Areas of Pyramids and Cones
• 11.4 Volumes of Prisms and Cylinders
• 11.5 Volumes of Pyramids and Cones
• 11.6 Surface Areas and Volumes of Spheres
• 11.7 Areas and Volumes of Similar Solids

Unit 12 - Circles

• 12.1 Tangent Lines
• 12.2 Chords and Arcs
• 12.3 Angle Measures and Segment Lengths
• 12.4 Angle Measures and Segment Lengths
• 12.5 Circles in the Coordinate Plane
• 12.6 Locus: A Set of Points